Continued Fractions of Square Roots of Natural Numbers
In this paper, we will first summarize known results concerning continued fractions. Then we will limit our consideration to continued fractions of quadratic numbers. The second author describes periods and sometimes the precise form of continued fractions of ?N, where N is a natural number. In case...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
CTU Central Library
2013-01-01
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| Series: | Acta Polytechnica |
| Subjects: | |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/1821 |
| _version_ | 1819021662069194752 |
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| author | L'ubomíra Balková Aranka Hrušková |
| author_facet | L'ubomíra Balková Aranka Hrušková |
| author_sort | L'ubomíra Balková |
| collection | DOAJ |
| description | In this paper, we will first summarize known results concerning continued fractions. Then we will limit our consideration to continued fractions of quadratic numbers. The second author describes periods and sometimes the precise form of continued fractions of ?N, where N is a natural number. In cases where we have been able to find such results in the literature, we recall the original authors, however many results seem to be new. |
| first_indexed | 2024-12-21T04:10:40Z |
| format | Article |
| id | doaj.art-8d85c248f4b848bd8cef1115b53f7b66 |
| institution | Directory Open Access Journal |
| issn | 1210-2709 1805-2363 |
| language | English |
| last_indexed | 2024-12-21T04:10:40Z |
| publishDate | 2013-01-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj.art-8d85c248f4b848bd8cef1115b53f7b662022-12-21T19:16:28ZengCTU Central LibraryActa Polytechnica1210-27091805-23632013-01-015341821Continued Fractions of Square Roots of Natural NumbersL'ubomíra BalkováAranka HruškováIn this paper, we will first summarize known results concerning continued fractions. Then we will limit our consideration to continued fractions of quadratic numbers. The second author describes periods and sometimes the precise form of continued fractions of ?N, where N is a natural number. In cases where we have been able to find such results in the literature, we recall the original authors, however many results seem to be new.https://ojs.cvut.cz/ojs/index.php/ap/article/view/1821continued fractionsperiodic continued fractionsperiods of continued fractionsquadratic numbers |
| spellingShingle | L'ubomíra Balková Aranka Hrušková Continued Fractions of Square Roots of Natural Numbers Acta Polytechnica continued fractions periodic continued fractions periods of continued fractions quadratic numbers |
| title | Continued Fractions of Square Roots of Natural Numbers |
| title_full | Continued Fractions of Square Roots of Natural Numbers |
| title_fullStr | Continued Fractions of Square Roots of Natural Numbers |
| title_full_unstemmed | Continued Fractions of Square Roots of Natural Numbers |
| title_short | Continued Fractions of Square Roots of Natural Numbers |
| title_sort | continued fractions of square roots of natural numbers |
| topic | continued fractions periodic continued fractions periods of continued fractions quadratic numbers |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/1821 |
| work_keys_str_mv | AT lubomirabalkova continuedfractionsofsquarerootsofnaturalnumbers AT arankahruskova continuedfractionsofsquarerootsofnaturalnumbers |